Group GAP4(64,161)

Name: (C2 x (C4 : C4)) : C2
Maximal quotients:GAP4(32,30) GAP4(32,39) GAP4(32,44)
Real polynomial:

x^64-320*x^62+47120*x^60-4252480*x^58+264306360*x^56-12051564608*x^54+419260\
809136*x^52-11424757418048*x^50+248392093424348*x^48-4366294535652416*x^46+6\
2654008027925520*x^44-739014544905566784*x^42+7199951151792035208*x^40-58123\
643197804553024*x^38+389475451392420530992*x^36-2167305948315376463680*x^34+\
10008458940297135476742*x^32-38282716544579753228224*x^30+120911811832251665\
116848*x^28-313911397713727042094528*x^26+665825902974253001145352*x^24-1144\
522626033772351423680*x^22+1577714757791352101409680*x^20-172039018254537465\
3869248*x^18+1457627945051220095786076*x^16-937195736551225126728384*x^14+44\
3068329836323020152112*x^12-147570188712739167374528*x^10+326566435264069445\
91672*x^8-4428207400610048532416*x^6+326776689458231824784*x^4-1008594504326\
4564160*x^2+16723736629762369

Common denominator of the automorphisms:

2954674824480096677050140312664156224178259053452522575024373496686430021044\
10917246167885839077247476537896206336

Complex polynomial:

x^64+880*x^56+206448*x^48-634816*x^40+17650784*x^32-2539264*x^24+3303168*x^1\
6+56320*x^8+256

Common denominator of the automorphisms:

1082667302912

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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